193538940 has 192 divisors, whose sum is σ = 662323200. Its totient is φ = 41243904.

The previous prime is 193538911. The next prime is 193538977. The reversal of 193538940 is 49835391.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 193538892 and 193538901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 630267 + ... + 630573.

It is an arithmetic number, because the mean of its divisors is an integer number (3449600).

Almost surely, 2^193538940 is an apocalyptic number.

193538940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193538940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331161600).

193538940 is an abundant number, since it is smaller than the sum of its proper divisors (468784260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

193538940 is a wasteful number, since it uses less digits than its factorization.

193538940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 193538940 is about 13911.8273422293. The cubic root of 193538940 is about 578.4370723796.

The spelling of 193538940 in words is "one hundred ninety-three million, five hundred thirty-eight thousand, nine hundred forty".